TY - JOUR
T1 - Variational Integrators for Higher Order Differential Equations
JO - Journal of Computational Mathematics
VL - 2
SP - 135
EP - 144
PY - 2003
DA - 2003/04
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8876.html
KW - Variational integrator, Symplectic mapping.
AB - <p style="text-align: justify;">We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sense and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments.</p>